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Finding the Fourth Proportional to 2,252.78, 3,376.20 and 1,020.77

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Solution

The fourth proportional to 2,252.78, 3,376.20 and 1,020.77 is: 1,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.78 : 3,376.20 = 1,020.77 : x
  2. Step 2: Convert to fraction form
    2,252.78/3,376.20 = 1,020.77/x
  3. Step 3: Cross multiply
    2,252.78x = 3,376.20 × 1,020.77
  4. Step 4: Simplify right side
    2,252.78x = 3,446,323.67
  5. Step 5: Solve for x
    x = 3,446,323.67/2,252.78
  6. Step 6: Final answer
    x = 1,529.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.